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The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring

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Gleb Arutyunov, Sergey Frolov, Jan Plefka, Marija Zamaklar

High Energy Physics - Theory · Submitted 22 Sep 2006

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/0609157 (version 1)
Pith ID6ZBDJPN2, Pith's permanent record of this paper and its review
CitationGleb Arutyunov, Jan Plefka, Marija Zamaklar, Sergey Frolov. "The Off-shell Symmetry Algebra of the Light-cone AdS_5 x S^5 Superstring." arXiv:hep-th/0609157 (2006). https://pith.science/paper/6ZBDJPN2
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,738 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.32 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.79 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N=4 gauge theory.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 background in the uniform light-cone gauge. contribution 0.93 0.92 0.04 asserted 0.90
s1 We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. method 0.94 0.93 0.04 asserted 0.97
s2 We focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. result 0.91 0.95 0.77 asserted 1.00
s3 This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N=4 gauge theory. interpretation 0.98 0.25 0.21 asserted 0.58

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

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  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We analyze the psu(2,2|4) supersymmetry algebra of a superstring propagating in the AdS_5 x S^5 background in the uniform light-cone gauge. We consider the off-shell theory by relaxing the level-matching condition and take the limit of infinite light-cone momentum, which decompactifies the string world-sheet. We focus on the psu(2|2)+psu(2|2) subalgebra which leaves the light-cone Hamiltonian invariant and show that it undergoes extension by a central element which is expressed in terms of the level-matching operator. This result is in agreement with the conjectured symmetry algebra of the dynamic S-matrix in the dual N=4 gauge theory.

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References
How later papers used it

47 later papers cite it

Evidence: some. 40 of the citing papers share no author with it, and 3 of those carry a confident label from Pith's citation classifier.

Pith read 21 of the 74 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its method or tool 1 of 2 papers with this label
How the literature uses it

46 arXiv papers cite this in 72 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 48 sentences without a confident label

Uses its method or tool 2 papers
Uses its data or values 1 paper
Cites it as background 18 papers
  • It was further found that the $psu(2|2)^2 ⋉R^3$ symmetry is realized in the worldsheet $S$-matrix when the level matching conditions are relaxed [ref] .

    Finite-Size Effects for Dyonic Giant Magnons · Introduction · 0.92

  • As a monumental result, there has emerged a novel integrable model [ref] which is expected to describe the spectrum of the infinitely long Yang–Mills operators as well as that of the infinitely long quantum strings [ref] , at arbitrary values of the 't Hooft coupling constant $λ$.

    Microscopic formulation of the S-matrix in AdS/CFT · Introduction · 0.90

  • The study of classical and quantum integrability of the Alday-Arutyunov-Frolov ($AAF$) model [ref] , which arises in the $𝔰𝔲(1|1)$ sub-sector of the string theory on $AdS_5 ×S^5$ in the uniform gauge, has revealed rather non-trivial integrable properties of the model and presented new challenges to quantize it.

    Integrable theories and generalized graded Maillet algebras · Introduction · 0.98

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